简便运算 (1⼀2+1⼀3+1⼀4+1⼀5) ×(1⼀3+1⼀4+1⼀5+1⼀6)-(1⼀2+1⼀3+1⼀4+1⼀5+1⼀6)×(1⼀3+1⼀4+1⼀5)

2024-12-14 04:05:00
推荐回答(4个)
回答1:

aX1/6-1/6b=1/6x(a-b)=1/6x[(1/2+1/3+1/4+1/5)-(1/3+1/4+1/5)]=1/6x1/2=1/12

回答2:

(1/2+1/3+1/4+1/5)×(1/3+1/4+1/5)+(1/2+1/3+1/4+1/5)×1/6-(1/2+1/3+1/4+1/5)×(1/3+1/4+1/5)-1/6*(1/3+1/4+1/5)=1/2*1/6=1/12

回答3:

a×(b+1/6)-(a+1/6)×b=a×1/6-1/6×b=1/6*(a-b)=1/6*((1/2+1/3+1/4+1/5)-(1/3+1/4+1/5))=1/6*1/2=1/12

回答4:

1